Yeah Boston and Amherst are different ends of the state, and both can be difficult to drive in to, especially in Winter. A snowy day on the pike? That could be 3-4 hours--no joke. On a good day that's 2 hours one way. You may want to find a different job. I just can't see any commute working out for that, especially with one car. Perhaps you could couch surf in Boston the night before a shift? I just don't know.

*Edit to add that living in Framingham would be an *awful* commute to Amherst. I commuted to and from Framingham from Worcester for work and school and that was about a third of the distance and it royally sucked in Winter and Rush Hour. That would be a nightmare to Amherst.